A candidate is selected for interview of management trainees in 3 companies. For the first company, there are 12 candidates for the second there are 15 candidates and for the third, there are 10 candidates. Find the probability that he is selected by at least one of the companies.

For the post of 5 teachers, there are 23 applicants, 2 posts are reserved for SC candidates and there are 7 SC candidates among the applicants. In how many ways can he selection be made?

A and B are two candidates seeking admission in a college. The probability that A is selected is 0.7 and the probability that exactly one of them is selected is 0.6. Find the probability that B is selected.

Two horses are considered for race. The probability of selection of the first horse is 1/4 and that of the second is 1/3. What is the probability that only one of them will be selected.

100 students appeared for two examinations. 60 passed the first, 50 passed the second and 30 passed both. Find the probability that a student selected at random has passed at least one examination.

The probability that a candidate secure a seat in Engineering through EAMCET is 1/10 Seven candidate are selected at random from a centre.The probability that exactly two will get seats is

There are 3 nominations for the post of president, 4 for the post of vice-president and 5 for the secretary. In how many ways can candidates be selected for each of these posts?

A bag contains 3 red and 7black balls. Two balls are selected at random one by one without replacement. If the second ball happens to be red, what is the probability that the first selected ball is also red?

In the recently conducted TAS examination , 15% of the candidates go selected from the total number of candidates who wrote the exam, the TCA, half the number of TAS candidates appeared and 20% of the candidates got selected . If the number of candidates selected in these two exams combiened were 18000, how many candiadtes actully for the TAS ( in thousnads ) ?

In an entrance examination, a candidate is to answer a multiple choice question which has four alternative solutions. The candidate either guesses the answer or he knows the answer. The probability that he knows the answer is 0.6. The examiner has found that the candidate has answered the question correctly. Find the probability that the candidate knew the answer, given that he answered it correctly.

In a multiple choice question, there are four alternative answers of which one or more than one is correct A candidate will get marks on the question only if he ticks the correct answer. The candidate decides to tick answers at a random. If he is allowed up to three chances to answer the question, then find the probability that he will get marks on it.